161605560011520 has 288 divisors, whose sum is σ = 543773868825600. Its totient is φ = 40790485204992.

The previous prime is 161605560011507. The next prime is 161605560011537. The reversal of 161605560011520 is 25110065506161.

It is a super-2 number, since 2×161605560011520² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81390889 + ... + 83352791.

It is an arithmetic number, because the mean of its divisors is an integer number (1888103711200).

Almost surely, 2^{161605560011520} is an apocalyptic number.

161605560011520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161605560011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271886934412800).

161605560011520 is an abundant number, since it is smaller than the sum of its proper divisors (382168308814080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161605560011520 is a wasteful number, since it uses less digits than its factorization.

161605560011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963075 (or 1963061 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 161605560011520 in words is "one hundred sixty-one trillion, six hundred five billion, five hundred sixty million, eleven thousand, five hundred twenty".